document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36867>Question 36867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the function for all these number<BR>\n" );
document.write( "-6,-5<BR>\n" );
document.write( "-4,-4<BR>\n" );
document.write( "-2,-3<BR>\n" );
document.write( "0,-2<BR>\n" );
document.write( "2,-1<BR>\n" );
document.write( "4,0<BR>\n" );
document.write( "6,1<BR>\n" );
document.write( "8,2<BR>\n" );
document.write( "they all have to have the same function<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22646 by </B><A HREF=/tutors/aboutme.mpl?userid=martinr><B>martinr(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=martinr><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to find the slope and the y-intercept for this problem.<BR>\n" );
document.write( "The line is linear, if you were to graph the points, all the points will be on the same line (Straight line).<BR>\n" );
document.write( "Slope is the difference in y's over the difference is x's.\r<BR>\n" );
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document.write( "I will use (-6, -5) (-4, -4)<BR>\n" );
document.write( "m = -4 - -5 = 1<BR>\n" );
document.write( "    -4 - -6 = 2<BR>\n" );
document.write( "therfore the slope is m = 1/2 or .5.<BR>\n" );
document.write( "Next find the y-intecept.  <BR>\n" );
document.write( "First choose one of the points (-6, -5).  (Makes no difference).<BR>\n" );
document.write( "y = mx + b, substitute for x, y and m.<BR>\n" );
document.write( "-5 = (1/2)(-6) + b<BR>\n" );
document.write( "-5 = -3 + b  (add three to both sides)<BR>\n" );
document.write( "b = -2<BR>\n" );
document.write( "Therefore the equation of the line is y = (1/2)x + -2.\r<BR>\n" );
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document.write( "You can use the same process for other points and if you really have a lot of time, you can use every combination of points and notice that they all have the same equation.<BR>\n" );
document.write( "Good luck.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );